Compare 54/27 and 40/9
1st number: 2 0/27, 2nd number: 4 4/9
54/27 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 9 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 27 × 1 = 27,
54/27 = 54 × 1/27 × 1 = 54/27 - Likewise, for the 2nd fraction, since 9 × 3 = 27,
40/9 = 40 × 3/9 × 3 = 120/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/27 < 120/27 or 54/27 < 40/9
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